# American Institue of Mathematical Sciences

1999, 5(4): 897-904. doi: 10.3934/dcds.1999.5.897

## Stable ergodicity of skew products of one-dimensional hyperbolic flows

 1 Department of Mathematics, University of Manchester, Oxford Road, Manchester M13 9PL

Received  January 1999 Revised  June 1999 Published  July 1999

We consider hyperbolic flows on one dimensional basic sets. Any such flow is conjugate to a suspension of a shift of finite type. We consider compact Lie group skew-products of such symbolic flows and prove that they are stably ergodic and stably mixing, within certain naturally defined function spaces.
Citation: C.P. Walkden. Stable ergodicity of skew products of one-dimensional hyperbolic flows. Discrete & Continuous Dynamical Systems - A, 1999, 5 (4) : 897-904. doi: 10.3934/dcds.1999.5.897
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